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Finding the Fourth Proportional to 1,131.36, 1,561.08 and 665.76

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Solution

The fourth proportional to 1,131.36, 1,561.08 and 665.76 is: 918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.36 : 1,561.08 = 665.76 : x
  2. Step 2: Convert to fraction form
    1,131.36/1,561.08 = 665.76/x
  3. Step 3: Cross multiply
    1,131.36x = 1,561.08 × 665.76
  4. Step 4: Simplify right side
    1,131.36x = 1,039,304.62
  5. Step 5: Solve for x
    x = 1,039,304.62/1,131.36
  6. Step 6: Final answer
    x = 918.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.